x*4+62=x*8-10

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Solution for x*4+62=x*8-10 equation:


Simplifying
x * 4 + 62 = x * 8 + -10

Reorder the terms for easier multiplication:
4x + 62 = x * 8 + -10

Reorder the terms:
62 + 4x = x * 8 + -10

Reorder the terms for easier multiplication:
62 + 4x = 8x + -10

Reorder the terms:
62 + 4x = -10 + 8x

Solving
62 + 4x = -10 + 8x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8x' to each side of the equation.
62 + 4x + -8x = -10 + 8x + -8x

Combine like terms: 4x + -8x = -4x
62 + -4x = -10 + 8x + -8x

Combine like terms: 8x + -8x = 0
62 + -4x = -10 + 0
62 + -4x = -10

Add '-62' to each side of the equation.
62 + -62 + -4x = -10 + -62

Combine like terms: 62 + -62 = 0
0 + -4x = -10 + -62
-4x = -10 + -62

Combine like terms: -10 + -62 = -72
-4x = -72

Divide each side by '-4'.
x = 18

Simplifying
x = 18

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